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Square challenge (Posted on 2004-01-20) Difficulty: 2 of 5
Find the smallest number that can be expressed as the sum of two (nonzero) perfect squares in two different ways.
_____________

And what if the two perfect squares must be nonzero, positive, and different?

  Submitted by SilverKnight    
Rating: 2.0000 (2 votes)
Solution: (Hide)
The answer to the first question is 50:
50 = 5² + 5² = 1² + 7²
_____________

The answer to the second question is 65:
65 = 1² + 8² = 4² + 7²

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: solution and bonus answerCharlie2009-01-26 18:12:02
Solutionsolution and bonus answerDej Mar2008-09-25 04:39:57
SolutionProblem Solution With ExplanationK Sengupta2007-05-19 04:35:01
answerK Sengupta2007-03-08 12:38:58
Some Thoughtsre: A hardy perennialNick Hobson2005-09-25 22:09:08
re(5): A hardy perennialP C2004-02-05 12:45:18
SOLUTIONAdy TZIDON2004-01-22 13:56:21
Some ThoughtsThe fourth way to solve puzzlesPenny2004-01-20 15:55:07
re(3): A hardy perennialSilverKnight2004-01-20 15:30:42
re(4): A hardy perennialPenny2004-01-20 15:27:40
re(2): A hardy perennialPenny2004-01-20 15:24:28
re(3): A hardy perennialSilverKnight2004-01-20 15:23:54
re: A hardy perennialRichard2004-01-20 15:19:23
re(2): A hardy perennialPenny2004-01-20 15:07:43
re: A hardy perennialSilverKnight2004-01-20 14:49:20
SolutionA hardy perennialPenny2004-01-20 14:41:45
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